Condensation Energy of a Spacetime Condensate

TL;DR

This paper proposes a novel analogy between spacetime and superconductivity, suggesting that baryonic matter results from spacetime's condensation energy, but it questions the applicability of the Planck temperature as the critical transition point.

Contribution

It introduces a theoretical framework linking spacetime condensates to baryonic mass and explores the analogy with Ginzburg-Landau theory of superconductivity.

Findings

Baryonic mass of the universe derived from spacetime condensation energy

Spacetime modeled as a condensate of neutral fermionic particles with Planck mass

Critical transition temperature is not the Planck temperature

Abstract

Starting from an analogy between the Planck-Einstein scale and the dual length scales in Ginzburg-Landau theory of superconductivity, and assuming that space-time is a condensate of neutral fermionic particles with Planck mass, we derive the baryonic mass of the universe. In that theoretical framework baryonic matter appears to be associated with the condensation energy gained by spacetime in the transition from its normal (symetric) to its (less symetric) superconducting-like phase. It is shown however that the critical transition temperature cannot be the Planck temperature. Thus leaving open the enigma of the microscopic description of spacetime at quantum level.